GIVE ME THE ANSWER!!!!!!!!!!!!!!!!!!
A manufacturer of salad dressings uses machines to dispense liquid ingredients into bottles that move along a filling line. The machine that dispenses salad dressings is working properly when 8 ounces are dispensed. Suppose that the average amount dispensed in a particular sample of 35 bottles is 7.91 ounces with a variance of 0.03 ounces squared. Is there evidence that the machine should be stopped and production wait for repairs? The lost production from a shutdown is potentially so great that management feels that the level of significance in the analysis should be 99%.
Answer:
Step-by-step explanation:
From the given information:
The null hypothesis is:
[tex]H_o: \mu = 8[/tex]
The alternative hypothesis is:
[tex]H_1 : \mu \ne 8[/tex]
The sample size n = 35
Sample mean = 7.91
variance = 0.03
Standard deviation = [tex]\sqrt{0.03} = 0.173[/tex]
The t-test statistics is computed as:
[tex]t = \dfrac{\bar x - \mu}{\dfrac{s}{\sqrt{n}}}[/tex]
[tex]t = \dfrac{7.91 -8}{\dfrac{0.1732}{\sqrt{35}}}[/tex]
[tex]t = \dfrac{-0.09}{\dfrac{0.1732}{5.916}}[/tex]
t = - 3.0741
Degree of freedom:
df = n - 1
df = 35 - 1
df = 34
Level of significance = 1 - C.I
= 1 - 0.99
= 0.01
The t_{critical} value for the two-tailed test at 0.01 is within the rejection region:
[tex]t_{critical} = -2.728 \ and \ 2.728[/tex]
Decision rule: To reject [tex]H_o[/tex] if [tex]t< -2.728 \ or \ t > 2.728[/tex]
As [tex]t_{statistics}[/tex] fails the rejection region, we reject [tex]H_o[/tex]
Conclusion: There is sufficient evidence to believe that the machine will not dispense 8 ounces & and it must be stopped for repairs.
You can use hypothesis testing with t test to know if there is enough evidence that he machine should be stopped and production wait for repairs.
There is enough evidence that the machine should be stopped and production wait for repairs.
Given information about taken sample are:Sample mean [tex] \overline{x} = 7.91[/tex]Sample size n = 35Sample standard deviation [tex]s = \sqrt{variance} = \sqrt{0.03} = 0.1732[/tex]Confidence should be of 99%.Let the population mean be denoted by [tex]\mu[/tex]
Forming hypotheses:Null hypothesis: [tex]\mu = 8[/tex] (that is, machine needs no repair and working fine)
Alternate hypothesis: [tex]\mu \neq 8[/tex] (that is, machine is not dispensing right amount and need repairs)
Using t test:
[tex]t = \dfrac{\overline{x} - \mu}{\dfrac{s}{\sqrt{n}}}[/tex]
[tex]t = \dfrac{7.91- 8}{\dfrac{0.1732}{\sqrt{35}}} = -0.30821[/tex]
Degree of freedom = sample size - 1 = 34
Level of significance = [tex]\alpha = 1 -0.99 = 0.01[/tex]
From t tables we have:
[tex]t_{critical} = t_{0.01} = \pm 0.278[/tex] (two tailed test) (at 34 degree of freedom)
Since obtained value of t -0.30821 is less than the minimum value of range [tex](-0.278, 0.278)[/tex], thus lying outside the range and thus, we cannot accept the null hypothesis and end up accepting the alternate hypothesis.
Thus, there is enough evidence that the machine should be stopped and production wait for repairs.
Learn more about testing of hypothesis for single mean here:
https://brainly.com/question/25316952
Least to greatest 0.4, 5/8, 74%, 3/5
Answer:
0.4,3/5,5/8,74%
Step-by-step explanation:
Change them all into decimals.
Get 0.4,0.625,0.74,0.6
Then reorder and see what their original values were
complete the following proof
Answer:
Step-by-step explanation:
statment/reason
1) HK≅JK / given (S)
2) IK bisects ∠HKJ / given
3) ∠3≅∠4 / angle bisectors form congruent angles (A)
4) HK≅JK / given
5) IK ≅IK / reflexive propriety (S)
6) ΔIHK≅ΔIJK / SAS theorem of congruency
7) ∠1≅∠2 / corsponding parts of congruent Δs are ≅
8) IK bisects ∠HIJ / angle bisectors form congruent angles
28.2% of 92 this is for math
Hey there!
Usually when you come across the word “of” in mathematical problems , it simply means that you’re multiplying
So we can simply multiply 28.2% from 92
28.2% = 28.2/100 = 0.282
New equation
0.282 * 92 = the answer
0.282 * 92 = 25.944
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
25 Point Math Question Image Attached
X = hypotenuse x sin(angle)
Rewriting this with the given information:
Sin(26) = x/10
The answer is B.
Answer:
answer is B
Step-by-step explanation:
just got it right
HELP MI PORFA<3
Question 1 (4 points)
1. Write a two column proof. (4pts)
Given: 2(3x + 4) = 56
Prove: x = 8.
I
Question 2
Step-by-step explanation:
2(3x+4)=56
<=> 6x+8=56
<=> 6x=48
<=> x=8
Use special right triangle ratios to find the length of the hypotenuse. Right Triangle Trig.
Answer:
11 sqrt(2)
Step-by-step explanation:
We know that in a 45 45 90 triangle, the lengths of the sides are x, x ,x sqrt(2)
the length of x is 11
so the lengths of the sides are 11, 11, 11 sqrt(2)
The hypotenuse is 11 sqrt(2)
Which statements are true about the rectangle? Check
all that apply
The other sides of the rectangle measure 4 in. and
12 in
2 The perimeter, in cm, can be found using the
expression
(2 * 12) + (2 X 4).
The area can be found by multiplying 12 cm by 4
cm.
The volume can be found using the expression
12 cm x 4 cm x 4cm.
The rectangle has an area of 48 cm3
The true statements of the rectangle are as follows:
The other sides of the rectangle measures 4 inches and 12 inches. The perimeter in cm can be found using the expression (2×12)(2×4)The area can be found by multiplying 12 cm by 4 cm.The statements that are true in the option are highlighted with point listing.
The other sides of the rectangle measures 4 inches and 12 inches.Generally a rectangle has 2 opposite sides equal to each other.
The perimeter in cm can be found using the expression (2×12)(2×4)The perimeter of a rectangle can be express as follows:
perimeter = 2l +2w
where
w = width
l = length
The area can be found by multiplying 12 cm by 4 cm.The area of a rectangle can be express as follows
area = lw
The last 2 statement are not true statement because the volume of a rectangle cannot be found as it is a 2 dimensional figure and the units for area is squared but it was express in cm³(centimetre cube)
read more: https://brainly.com/question/2827496?referrer=searchResults
Answer:
B and C
Step-by-step explanation:
Rosy has 16 pencils and 24 erasers. She is putting together packets that will have an equal number of pencils and erasers in each packet. If Rosy uses all of the pencils and erasers, what is the maximum number of packets she can make?
A.
2
B.
4
C.
8
D.
48
Answer: It's A. 2.
Step-by-step explanation:
Answer:
its not a
Step-by-step explanation:
please help me please
There are 12 1/4 pounds of candy canes to split between four classes evenly. How many pounds of the candy canes will each class get ?
each class gets 3 and 1/16 pounds
Find the recipricol of -b/3
Answer:
-0.333333333
Step-by-step explanation:
x+2=7,x=........?Please help
Answer:
5
Step-by-step explanation:
5 + 2 = 7
3. Which set is an example of like fractions?
O A.2/and 2/3
O B.7/4 and 4/7
c. 1/2 and 3/2
D. 10/10 and
O D.
(10 and 5/5
Answer: C
Step-by-step explanation: The group of two or more fractions that have exactly the same denominator are called like fractions. ... For example, 1/7, 2/7, 5/7, 6/7 are all like fractions, whose denominators equal to 7.
please help me answer this i will give you brainiest if its right and a thanks!! :)
Answer:
2 to 7
Step-by-step explanation:
Which angle(s) is/are supplementary?
Answer:
Two Angles that add up to 180
Step-by-step explanation:
90 degrees+ 90 degrees= 180 degrees
160degrees+ 20 degrees= 180 degrees
Hope this helps!
solve for x. solve for x. solve forx.
Answer: I think your answer should be x=7, please mark me as brainliest! :D
Step-by-step explanation:
Determine the parent function
Y=x3. Y=^x. Y=1/x
Answer:
First one is B
Second one is A
next time dont shoot your computer
Step-by-step explanation:
The parent function of the graph is y = √x
How to determine the parent function?The given graph is a graph of a square root function, that is translated upward by 3 units and right by 1 unit
This means that the equation of the graph is:
y = 3 + √(x - 1)
Remove the translated points
y = √x
Hence, the parent function of the graph is y = √x
Read more about function transformation at:
https://brainly.com/question/4025726
#SPJ2
Help please!!!
Triangle ABC is similar to triangle PQR, as shown below
Answer:
b:q
Step-by-step explanation:
im pretty sure its that. ive learned this before.
if you flipped them so that c and r were facing the same direction, then b and q would be too.
to sacrifice my own life for pakistan
Answer:
yes.
Step-by-step explanation:
r these just free points?
which of these number lines represents the difference -3-2
Answer:
Number line D
Step-by-step explanation:
That line goes from 0 to -3 and subtracts 2, as the equation shows.
True or False. Use the information below to answer questions 10, 11, and 12.
The local sporting goods store sells footballs at the following rate.
Number of Footballs n Total Price t
2 $17.00
4 $34.00
Use the chart above and the following information to answer the true and false questions that follow. The sporting goods store also sells baseballs at a 50% of the cost of the footballs. Determine which of the following statements are true. Select True or False for each statement.
10. The price of 6 baseballs is less than the price of 4 footballs. True or False
11. The difference in the price of 1 football when compared to the price of 1 baseball is less than $3
12. The price of 3 footballs is equal to the price of 6 baseballs. True or False
Answer:
True, False, True
Step-by-step explanation:
Calculate the unit price of a football and a baseball
2 footballs cost $17.00 , then
1 football costs $17 ÷ 2 = $8.50
A baseball is 50% of a football, thus
cost of base ball = 50% of $8.50 = 0.5 × $8.50 = $4.25
(10)
4 footballs cost $34.00 ( given in table )
6 baseballs cost 6 × $4.25 = $25.50 < $34
Thus 6 baseballs < 4 footballs is True
(11)
The difference in price = $8.50 - $4.25 = $4.25
Thus the difference in price is greater than $3, not less False
(12)
3 footballs cost 3 × $8.50 = $25.50
6 baseballs cost 6 × $4.25 = $25.50
Thus the costs are equal is True
Answer:
Answer:
see explanation
Step-by-step explanation:
1
(a)
If 2 chords of a circle intersect then the product of the measures of the parts of one chord is equal to the product of the measures of the parts of the other chord.
(b)
If 2 secants are drawn from an external point to a circle then the product of the measures of one secant's external part and the entire secant is equal to the product of the measures of the other secant's external part and that entire secant.
(c)
If a tangent and a secant are drawn from an external point to a circle , then the square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant.
2
A radian is defined as the angle subtended at the centre of a circle by an arc equal to the radius of the circle.
1 revolution = 360° = 2π radians
1 radian = \frac{360}{2\pi }
2π
360
≈ 57°
3
(a)
An inscribed circle of a triangle is a circle drawn inside a circle so the circle barely touches the sides of the triangle.
(b)
The incentre is at the point of intersection of the triangle's 3 angle bisectors.
(c)
A circumscribed circle of a triangle ( circles drawn around the triangle so that the circle passes through each of the triangles's vertices.
(d)
The circumcentre is at the intersection of the perpendicular bisectors of the triangle's sides.
'
A house has decreased in value by 38% since it was purchased. If the current value is $155,000, what was the value when it was purchased?
Is that the right question?
Please help me please I am failing
Answer
1/3
Step-by-step explanation:
This is because the number of spaces in between all the dots is 3 and so each of those spaces is 1/3, therefore a-b is one line which is 1/3. :3
A tax deduction helps lower one's taxes, bit how does it do it?
A) a tax deduction increases one's income
b) a tax deduction lowers one's taxable income aking less tax due
c) a tax deduction lowers the percentage of sales tax for those with lower income
d) a tax deduction lowers the percentage of sales tax for those with lower income
Answer is B because I learned it in school
Simplify
x^2 + 3x + 2 over x+1
Answer:
x+2
Step-by-step explanation:
factor and you should get (x+2)(x+1)/(x+1) and then you cancel out the (x+1)
help :( someone can explain me
Answer:
B, C, D
Step-by-step explanation:
-2 is 8 spaces away from 6 so do the math for each possible answer and u get B,C,D.
B.
6 - (-2)
6 + 2 = 8
C.
| -2| = 2
6+2 = 8
D.
|-2+6|
2+6 = 8
Benson is building cabinets he can build 1 1/2 cabinets in 3/4 hour how many cabinets can he build in one hour
Answer:
2
Step-by-step explanation:
[tex]\frac{3x}{4}[/tex] = [tex]\frac{3}{2}[/tex]
cross-multiply: 6x = 12
x = 2
Answer:
2 cabinets
Step-by-step explanation:
In 3/4 hour he builds 1 1/2 cabinets.
1/4 hours is 1/3 of 3/4 hour.
In 1/4 hour he builds 1/3 of 1 1/2 cabinets which is half a cabinet.
In 1 hour he builds 4 times what he builds in 1/4 hour, 4 * 1/2 cabinet = 2 cabinets.
Answer: 2 cabinets
just say something so that you can have my points :)
Answer:
thanks !!
Step-by-step explanation: have a wonderful day :)
Answer:
Thank you!!
Step-by-step explanation:
Have a great day:)
Look at this table:
х
у
-19
2
2
11
8
16
Is this relation a function?
yes
no
Answer:
The answer is No
Step-by-step explanation:
Answer:
no because it has two of the same x values